Question

Rationalise:6x² - 5x²-√3x +12=0
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Answer 1

Answer:

Step-by-step explanation:

5x²−6x+8−−−−−−−−−−√−5x²−6x−7−−−−−−−−−−√=1

For ease of writing and understanding, let the common term between the two terms 5x2−6x=t

t+8−−−−√−t−7−−−−√=1⟹t+8−−−−√=1+t−7−−−−√

Square both sides:

t+8=1+t−7+2t−7−−−−√⟹7=t−7−−−−√

Square both sides: 49=t−7⟹t=56

t=5x2−6x=56⟹5x2−6x−56=0

x=6±62+(4×5×56)−−−−−−−−−−−−−−√10=6±3410

⟹x=4 OR −810=−145

Ans: x=4,−145

Hope it helps you ✌️